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Mass calibrations for thermal-SZ clusters

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maszcal

maszcal is a package dedicated to calibration of the observable-mass relation for galaxy clusters, with a focus on the thermal Sunyaev-Zeldovich signal's relation to mass. maszcal is designed to explicitly model baryonic matter density profiles, differing from most previous approaches that treat galaxy clusters as purely dark matter. To do this, it uses a generalized Nararro-Frenk-White (GNFW) density to represent the baryons, while using the more typical NFW profile to represent dark matter. The theoretic methodology is detailed in the accompanying paper.

maszcal also uses a Principle Component Analysis (PCA) emulator (AKA a surrogate model) based on the Coyote Universe emulator. The emulator and PCA code is contained in dependencies, but it is crucial to running the MCMC analysis much faster than would be possible with the full model.

Currently maszcal is available in a beta-release state. Sigificant updates will be coming over the next 2-3 months. See below for details.

Structure

  • Main module code is in maszcal
  • spec contains fast-running tests (mostly unit tests) which are designed to ensure operability of the code
  • int contains slow-running tests that check numerical results or produce plots for visual examination

Installation

For now, I recommend installing using pip: run

pip install --user -e .

inside the base directory. To install dependencies, run

pip install --user -r requirements.txt

Dependencies

The module dependencies are:

  • dataclasses (if you are using Python version less than 3.7)
  • colossus
  • numpy
  • scipy
  • astropy
  • camb
  • scikit-learn
  • mcfit (forked from eelregit/mcfit) -> calculates correlation function from power spectrum
  • pality -> provides PCA calculation
  • ostrich -> provides a PCA emulator
  • meso -> provides miscentering
  • projector -> provides projection from density to excess surface density
  • supercubos -> calculates Latin Hypercubes
  • smolyak -> provides Smolyak grid interpolation

In order to run the tests, the minimal requirements are pytest and pytest-describe. In some cases, I use pytest-mock and pretend for stubbing/mocking. Many of the integration tests in tests require Matplotlib for generating plots and use Seaborn for styling. Running the tests yourself is not necessary, but can be done via

pytest spec/**/*.py

if you wish.

If you want to use my analysis scripts, you will also need to install pathos and emcee. These can both be installed via pip install --user pathos emcee.

Usage

maszcal contains all of the classes and functions needed to run a full mass calibration analysis that includes baryons. Right now, you can see examples of this in the scripts directory. In the next couple of weeks, a tutorial Jupyter notebook will be provided with some example data to fit.

Citing

If you use maszcal in your research, please consider citing the first companion paper.

Future development

maszcal is currently in a beta release state (version 0.9). Over the next 2-3 months, a large number of changes are going to be made. The planned changed are as follows.

Public API

Right now if you want to use maszcal, you need to glue a bunch of classes together yourself, and do the MCMC fitting with a third-party library. The public API will funnel the whole analysis process through a single public class that will be considerably easier to use if you aren't familiar with the maszcal internals.

Documentation

Right now, the module lacks much inline documentation. Once the public API is finalized, auto-generated documentation will be provided to help both users and those who wish to help develop the package.

Cython Extension

One of the biggest changes is that in the near-future, maszcal will contain part of its core library as a Cython extension. This is done because including scatter and miscentering in the observable-mass relation adds a considerable memory overhead to calculating the model, one which is basically insurmountable on a personal computer.

This is because both of these corrections require numerically integrating the model. Doing these integrations by a loop is slow (far, far too slow); doing them via numpy requires a lot of memory (far, far too much). This problem seems to be outside the realm of what can be solved within just the Python + Numpy ecosystem, and requires creating either a C or Cython extension module. I have opted for the latter.

maszcal will continue to be easy to install even after this extension is added, but if you intend to develop with maszcal, you should be aware of this planned change.

Notes

Little Hubble Conventions

maszcal doesn't use so-called "little-h" (the Hubble constant divided by 100) factors at all. Masses are masses, radii and radii, etc. In order to get consistent results, you must remove all h-factors from anything you input, and if you want them on the output values you will have to re-add them yourself too. But then again, little-h probably shouldn't be used anyway.

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